Math Tutor Explains: Multiples of 3996

Multiples of 3996 are numbers that can be evenly divided by 3996 without leaving a remainder. A math tutor might explain it as the result of multiplying 3996 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 3996

Methods

Methods for Finding Multiples from a Math Tutor

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 3996, you could just multiply 3996 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 3996, start at 3996 and keep adding 3996 over and over: 3996, 7992, 11988, 15984, and so on. Each of these numbers is a multiple of 3996.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

What are the Multiples of 3996?

Let’s find the first 10 multiples of 3996 by multiplying:

39961=39963996 * 1 = 3996

39962=79923996 * 2 = 7992

39963=119883996 * 3 = 11988

39964=159843996 * 4 = 15984

39965=199803996 * 5 = 19980

39966=239763996 * 6 = 23976

39967=279723996 * 7 = 27972

39968=319683996 * 8 = 31968

39969=359643996 * 9 = 35964

399610=399603996 * 10 = 39960

So, the first 10 multiples of 3996 are: 3996, 7992, 11988, 15984, 15984, 23976, 27972, 31968, 35964 and 39960.

Interesting Facts about Multiples from a Math Tutor

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative numbers.

Math Tutor Tip: Try to Find The Multiples of Other Numbers

Finding multiples of any number can be done using the same methods as outlined above. You can see how this can be done with specific numbers, like the ones below, by clicking on the any of the links below:

Multiples of 998 - The first five multiples of 998 are 998, 1996, 2994, 3992, 4990

Multiples of 83 - The first five multiples of 83 are 83, 166, 249, 332, 415

Multiples of 381 - The first five multiples of 381 are 381, 762, 1143, 1524, 1905

Multiples of 364 - The first five multiples of 364 are 364, 728, 1092, 1456, 1820

Multiples of 28 - The first five multiples of 28 are 28, 56, 84, 112, 140

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